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Finding the Fourth Proportional to 43,684.50, 65,526.78 and 10,852.50

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Solution

The fourth proportional to 43,684.50, 65,526.78 and 10,852.50 is: 16,278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,684.50 : 65,526.78 = 10,852.50 : x
  2. Step 2: Convert to fraction form
    43,684.50/65,526.78 = 10,852.50/x
  3. Step 3: Cross multiply
    43,684.50x = 65,526.78 × 10,852.50
  4. Step 4: Simplify right side
    43,684.50x = 711,129,379.95
  5. Step 5: Solve for x
    x = 711,129,379.95/43,684.50
  6. Step 6: Final answer
    x = 16,278.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.